What is the answer to (3x-2)/(5x)=-4x ?

The answer to (3x-2)/(5x)=-4x is x=-2/5 ,x= 1/4

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(3x-2)/(5x)=-4x

\frac{3 x - 2}{5 x} = - 4 x

x = - \frac{2}{5}, x = \frac{1}{4}

Decimal Notation

x = - 0.4, x = 0.25

Solution steps

\frac{3 x - 2}{5 x} = - 4 x

Multiply both sides by

x

\frac{3 x - 2}{5} = - 4 x^{2}

Solve

\frac{3 x - 2}{5} = - 4 x^{2} : x = - \frac{2}{5}, x = \frac{1}{4}

x = - \frac{2}{5}, x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{5}, x = \frac{1}{4}

x - \frac{6}{x - 3} = \frac{2 x}{x - 3}

1 + \frac{( x + 3 ) 2 x}{x ^{2}} = 0

(x + 5)^{- 3} = - 1

\frac{2}{x - 1} = \frac{3}{x + 2}

\frac{1 - 3 x}{2 x + 3} = \frac{2}{7}

What is the answer to (3x-2)/(5x)=-4x ?
The answer to (3x-2)/(5x)=-4x is x=-2/5 ,x= 1/4
Solve for x: (3x-2)/(5x)=-4x
The solution is x=-2/5 ,x= 1/4